Energy and Force(momentum)

When constant force applied to a body,

Whats the bodies KE?

KE = WD on body

WD for gas is

p x change in V

P =

Fv

pV=?

pxvx + pyvy

How to find EPE (1/2kx²) with only x(extension) and mass?

EPE= (1/2)kx² , k = N/m , x is extension

mg=kx

EPE = (1/2)mgx

3 forces

line of focr

Why got force to middle during rotation

Rotating at constant speed → net force to change direction

Change in direction → acceleration to center of rotation

WD is area under F-x graph

N1L

Object will stay in its original state of motion(moving/stationary) if no external force acts on it

N2L → dp/dt = F

Large change in momentum in short span of time = greater force

N3L

Action-Reaction Pair

Equal Magnitude, Opposite Direction

Principle of conservation of momentum

Total momentum of a system of bodies is constant provided no external resultant force acts on the system

Impulse = Change in momentum

MUST TAKE CHANGE IN EACH SEPARATE COMPONENT

m(Vf - Vi)

total impulse, J =(Jx²+Jy²)^1/2

Equilibirum

No net resultant force in any direction

No net moment about any axis

Collision

Action-Reaction pair

1st Law of Thermodyanmics

change in U = Q + Won

Elastic Collision

Total KE remains the same before and after

NOT DURING

Both bodies do not stick tgt and have diff velocity

Derive KE

Initially Stationary,

WD = Fs, v² = u² + 2as

F = - du/dx

force is always trying to bring item to lower potential

Parabolic path

1. Constant horizontal velocity

2. Constant vertical acceleration